Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Opp, what is oops

what is oops

Write code to implement constructor and assessors, Study the given class sp...

Study the given class specification and answer the questions that follow: class Person { private:   string name;   int yrBorn;   int yrDied;   public:   Per

Which one would you prefer - a macro or a function, Which one would you pre...

Which one would you prefer - a macro or a function? Actually it depends on the purpose of program! - In case of macros, corresponding code is inserted directly into your sou

Array of objects, Array of Objects: The objects can be declared just li...

Array of Objects: The objects can be declared just like a structure or even a primary data type.  Array of objects may be required to work with large set of data.   When the da

Decode the code, Smugglers are becoming very smart day by day. Now they hav...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Write a program to illustrate array of structures, Write a program to illus...

Write a program to illustrate array of structures? struct customer { int id; char name[15]; }; struct customer c[100]; . In the above instance, the array of Structures is

Boardcoloring, how to fill the blank space in4*4 matrix?

how to fill the blank space in4*4 matrix?

Tool for checking memeory leak, what would be the best tool for debuggingg ...

what would be the best tool for debuggingg memory leaks in c/c++ programming

Program to spider''s path display to the screen, Spider webs have two types...

Spider webs have two types of silk, sticky silk and strength silk, spiders do not move on the sticky silken threads only on the strength threads. Assume one type of spider creates

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd